Question

Solve the equation by factoring. 2x^2 + 6x = -4​

Answer 1

x = -1, -2

Explanation:

Bring the constant term to the left hand side :

• 2x² + 6x = -4
• 2x² + 6x + 4 = 0

Divide throughout by 2 :

• (2x² + 6x + 4)/2 = 0/2
• x² + 3x + 2 = 0

Splitting the middle term :

• x² + x + 2x + 2 = 0
• x(x + 1) + 2(x + 1) = 0

Factors obtained :

• (x + 1)
• (x + 2)

Finding the zeros :

1. x + 1 = 0 ⇒ x = -1
2. x + 2 = 0 ⇒ x = -2

Answer 2

x=-2 x=-1

Explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0 x+1 =0

x=-2 x=-1